Chapter 4.7, Problem 10P

In each of Problems 10 through 13, use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients.

$y\text{'}\text{'}-5y\text{'}+6y=2e^t$     (Compare with Problem 7 in Section 4.5.)

7. $y\text{'}\text{'}-5y\text{'}+4y=2e^t$     (Compare with Problem 10 in Section 4.7.)